So because other landlords will be trying to raise money to pay the land value tax, they will be more desperate for renters, and will offer a lower price. So if your landlord tried to raise the rent, you would have a lot of cheaper options to leave to. It would make landlords compete against each other.
See here for theory and empirics, including an example from Denmark
So the importantly, you would only pay tax on the value of the land your property is on, not the entirely of the property. Essentially, society owns the land and "rents" it to anybody who wants to use it for housing or a business, and that "rent" would belong to society, either as UBI or as funding for services.
So if your house is in a really rural area, the land isn't worth that much, your LVT would likely be quite low. If your house is in a high demand area, like manhattan, the LVT is high, and you should probably build and apartment or something so lots of people can live there. If the land you want to use has a lot of valuable resources under it, it would be expensive, and you have to pay a lot for the right to use it. This is essentially what Norway and Alaska to get as much money as possible out of oil companies and give it to citizens.